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stiks02 [169]
3 years ago
13

Yolanda owns 4 rabbits. She expects the number of rabbits to double every year.

Mathematics
2 answers:
klasskru [66]3 years ago
8 0
It is geometric sequence.
Therefore:
a_1=4\\
q=2\\
S=a_1*\frac{1-q^n}{1-q}\\
64=4*\frac{1-2^n}{1-2}\\
16=\frac{1-2^n}{-1}\\
-16=1-2^n\\
16+1=2^n\\
2^4+1=2^n\\
n>4

After 4 yours she will have over 64 rabbits.
Korvikt [17]3 years ago
3 0
a)\\n-after\ how\ many\ years\ will\ she\ have\ 64\ rabbits\\ \\4\cdot \frac{1-2^n}{1-2} =64\ /:4\\ \\\frac{1-2^n}{-1} =16\ \ \ \Leftrightarrow\ \ \ 2^n-1=16\ \ \ \Leftrightarrow\ \ \ 2^n=17>16\\ \\2^n>2^4\\ .\ \ \ \ \ \ \ \ \ \ \ \ \ \ a^b>a^c\ \ \wedge\ \ \ a>1\ \ \ \Rightarrow\ \ \ b>c\\n>4\\ \\Ans.\ Yolanda\ have\ 64\ rabbits\ after\ 4\ years


b)\\b-how\ much\ rabbits\ was\ in\ the\ beginning\\t-how\ many\ times\ will\ be\ an\ increase\ in\ the\ number\ of\ rabbits\\.\ \ \ \ in\ the\ years\\e-how\ many\ rabbits\ are\ expected\ Yolanda\\ \\ b\cdot \frac{1-t^n}{1-t} =e
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Which expression is equivalent to (7x+9y)2
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Answer:

49x^2+126xy+81y^2

Step-by-step explanation:

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(a+b)^2= a^2+2ab+b^2

Now expand the given equation:

(7x+9y)^2=49x^2+126xy+81y^2

Hope this helps :)

Have a great day!

6 0
2 years ago
The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true?
Ivan

<em>Option:</em>

<em>a. for every 13 dogs, there are 25 cats. </em>

<em>b. there are twice as many cats as dogs at the shelter. </em>

<em>c. the shelter has more dogs than cats. </em>

<em>d. there are 25 animals in the shelter.</em>

Answer:

a. for every 13 dogs, there are 25 cats.

<em></em>

Step-by-step explanation:

Represent Dogs with D and Cats with C;

So;

\frac{D}{C} = \frac{13}{25}

By comparison:

D=13

C = 25

This implies that:

For every 13 D, there are 25 C

Hence: Option A is true

6 0
2 years ago
Choose the graph of the linear equation 30x+75y=300
vivado [14]

Answer:

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4 0
1 year ago
Find the value of a2+bc√−d, when<br><br> a = –3, b = 2, c = 100, and d = –2.
pav-90 [236]
Umm im pretty sure d= -3x im not to sure
5 0
3 years ago
Read 2 more answers
I bought a box of granola bars at the store that has a volume of 210 cubic centimeters
Naya [18.7K]

Answer:

a and c

Step-by-step explanation:

The volume (V) of a cuboid is

V = lwh ( l is length, w is width, h is height )

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b

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c

V = 7 × 3 × 10 = 210 ← correct volume

Hence a and c  could be the dimensions of the box


6 0
3 years ago
Read 2 more answers
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